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Finding the Third Proportional to 657,629,074 and 1,431,027,724

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Solution

The third proportional to 657,629,074 and 1,431,027,724 is: 3,113,974,773.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,629,074 : 1,431,027,724 = 1,431,027,724 : x
  2. Step 2: Convert to fraction form
    657,629,074/1,431,027,724 = 1,431,027,724/x
  3. Step 3: Cross multiply
    657,629,074x = 1,431,027,724 × 1,431,027,724
  4. Step 4: Simplify right side
    657,629,074x = 2,047,840,346,856,620,288
  5. Step 5: Solve for x
    x = 2,047,840,346,856,620,288/657,629,074
  6. Step 6: Final answer
    x = 3,113,974,773.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.